integrability is a property of certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system...

System integration is defined in engineering as the process of bringing together the component sub-systems into one system (an aggregation of subsystems...

A systems integrator (or system integrator) is a person or company that specializes in bringing together component subsystems into a whole and ensuring...

and when this works out in the whole phase space M the dynamical system is integrable. In most cases the patch cannot be extended to the entire phase space...

approach to certain over-determined systems, for example, including Lax pairs of integrable systems. A Pfaffian system is specified by 1-forms alone, but...

equations). The classical Gaudin models are integrable. They are also a specific case of Hitchin integrable systems, when the algebraic curve that the theory...

A rail integration system (RIS; also called a rail accessory system (RAS), rail interface system, rail system, mount, base, gun rail, or simply a rail)...

System integration testing (SIT) involves the overall testing of a complete system of many subsystem components or elements. The system under test may...

the Gelfand–Zeitlin system (also written Gelfand–Zetlin system, Gelfand–Cetlin system, Gelfand–Tsetlin system) is an integrable system on conjugacy classes...

equation or a system of differential equations: Integrability conditions for differential systems Integrable system Order of integration, in statistics...

In mathematics, the Hitchin integrable system is an integrable system depending on the choice of a complex reductive group and a compact Riemann surface...

The Central American Integration System (Spanish: Sistema de la Integración Centroamericana, or SICA) has been the economic and political organization...

are an important ingredient in the modern mathematical theory of integrable systems, and have numerous applications in a variety of other domains. They...

Lebesgue integral Liouville-integrability Darboux-integrability Integrable system (mathematics, physics) System integration (information technology) Interoperability...

coordinates. A Hamiltonian system which is integrable is referred to as 'integrable in the Liouville sense' or 'Liouville-integrable'. Famous examples are...

equivalent to the Riemann integral. A function is Darboux-integrable if and only if it is Riemann-integrable. Darboux integrals have the advantage of being easier...

Operators and Integrable Hierarchies" "[1]" Cárdenas, Marcela; Correa, Francisco; Lara, Kristiansen; Pino, Miguel (2021-10-12). "Integrable Systems and Spacetime...

studied in the two-dimensional case as an integrable system, in particular an integrable field theory. Its integrability was shown by Faddeev and Reshetikhin...

because it is one of the earliest examples of a non-linear completely integrable system. It is given by a chain of particles with nearest neighbor interaction...

The core idea of artificial intelligence systems integration is making individual software components, such as speech synthesizers, interoperable with...

typically arise when considering slowly modulated long waves of an integrable dispersive PDE system. The dispersionless Kadomtsev–Petviashvili equation (dKPE)...

partial difference, multidimensional equations and fractional integrable nonlinear systems. The independent variables are a spatial variable x {\displaystyle...

terms of trajectories in phase space of an integrable Hamiltonian system. The motion of an integrable system is confined to an invariant torus (a doughnut-shaped...

The Kundu equation is a general form of integrable system that is gauge-equivalent to the mixed nonlinear Schrödinger equation. It was proposed by Anjan...

Integrable algorithms are numerical algorithms that rely on basic ideas from the mathematical theory of integrable systems. The theory of integrable systems...

systems of integrable differential equations are called integrable systems. The study of dynamical systems overlaps with that of integrable systems;...

manifold is integrable (or involutive) if and only if it arises from a regular foliation. In this context, the Frobenius theorem relates integrability to foliation;...

Typically, developers merge changes to an integration branch, and an automated system builds and tests the software system. Often, the automated process runs...

partial differential equations. Euler–Lagrange equation Nonlinear system Integrable system Inverse scattering transform Dispersive partial differential equation...

various limits are taken for variables appearing in the theory) describes integrable field theories, both non-relativistic such as the nonlinear Schrödinger...